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Q:

If a = 299, b = 298, c = 297 then the value of $2 a^{3} + 2 b^{3} + 2 c^{3} - 6 abc$ is

A) 5154	B) 5267
C) 5364	D) 5456

Answer & Explanation Answer: C) 5364

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x^{2} + y^{2} + 6 x + 5 = 4 (x - y)$ then x - y is

A) 1	B) -1
C) 0	D) 4

Answer & Explanation Answer: A) 1

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Q:

If a + b = 1, then $a^{4} + b^{4} - a^{3} - b^{3} - 2 a^{2} b^{2} + ab$ is equal to

A) 1	B) 2
C) 4	D) 0

Answer & Explanation Answer: D) 0

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Filed Under: Simplification
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Q:

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

A) 169	B) 209
C) 189	D) 198

Answer & Explanation Answer: C) 189

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

If $x + \frac{1}{x} = c + \frac{1}{c}$ , then the value of x =

A) C, 1/C	B) C, C2
C) C, 2C	D) 0,1

Answer & Explanation Answer: A) C, 1/C

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Q:

If P = 99, then the value of $P (P^{2} + 3 P + 3)$ is

A) 9999	B) 999999
C) 99999	D) 9999999

Answer & Explanation Answer: B) 999999

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Q:

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A) 6 cm and 12 cm	B) 4 cm and 8 cm
C) 3 cm and 6 cm	D) 2 cm and 4 cm

Answer & Explanation Answer: C) 3 cm and 6 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

A) 1 : 2	B) 1 : 4
C) 1 : 7	D) 1 : 8

Answer & Explanation Answer: C) 1 : 7

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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